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Finding the Third Proportional to 184,048 and 398,192

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Solution

The third proportional to 184,048 and 398,192 is: 861,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,048 : 398,192 = 398,192 : x
  2. Step 2: Convert to fraction form
    184,048/398,192 = 398,192/x
  3. Step 3: Cross multiply
    184,048x = 398,192 × 398,192
  4. Step 4: Simplify right side
    184,048x = 158,556,868,864
  5. Step 5: Solve for x
    x = 158,556,868,864/184,048
  6. Step 6: Final answer
    x = 861,497.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.